Academic Journal
Numerical approximation of solution derivatives of singularly peprturbed parabolic problems of convection-difffusion type
| العنوان: | Numerical approximation of solution derivatives of singularly peprturbed parabolic problems of convection-difffusion type |
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| المؤلفون: | Gracia Lozano, José Luis, O'Riordan, Eugene |
| سنة النشر: | 2016 |
| المجموعة: | Digital Repository of University of Zaragoza (ZAGUAN) |
| الوصف: | Numerical approximations to the solution of a linear singularly perturbed parabolic convection-diffusion problem are generated using a backward Euler method in time and an upwinded finite difference operator in space on a piecewise-uniform Shishkin mesh. A proof is given to show first order convergence of these numerical approximations in an appropriately weighted C^1$-norm. Numerical results are given to illustrate the theoretical error bounds. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | info:eu-repo/grantAgreement/ES/MEC/MTM2010-16917; http://zaguan.unizar.es/record/64444 |
| DOI: | 10.1090/mcom/2998 |
| الاتاحة: | http://zaguan.unizar.es/record/64444 https://doi.org/10.1090/mcom/2998 |
| Rights: | All rights reserved ; http://www.europeana.eu/rights/rr-f/ |
| رقم الانضمام: | edsbas.6317FC1 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1090/mcom/2998 |
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